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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 996 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 112 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  5. 5.A clock shows 12:33. What time will it show 168 minutes later? (a) 3:11 (b) 4:21 (c) 3:31 (d) 3:21
  6. 6.How many degrees does the minute hand of a clock turn in 33 minutes? =
  7. 7.A clock shows 6:02. What time will it show 34 minutes later? (a) 6:46 (b) 6:36 (c) 6:26 (d) 7:36
  8. 8.A clock shows 3:38. What time will it show 46 minutes later? (a) 4:14 (b) 4:34 (c) 4:24 (d) 5:24
  9. 9.A clock shows 3:19. What time will it show 124 minutes later? (a) 5:33 (b) 5:23 (c) 5:13 (d) 6:23
  10. 10.How many degrees does the minute hand of a clock turn in 3 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 18 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 6 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 175 minutes? =
  17. 17.A clock shows 1:59. What time will it show 54 minutes later? (a) 2:53 (b) 3:03 (c) 3:53 (d) 2:43
  18. 18.A clock shows 2:08. What time will it show 95 minutes later? (a) 4:43 (b) 3:33 (c) 3:43 (d) 3:53
  19. 19.How many degrees does the minute hand of a clock turn in 29 minutes? =
  20. 20.A clock shows 1:09. What time will it show 128 minutes later? (a) 3:17 (b) 4:17 (c) 3:07 (d) 3:27
  21. 21.A clock shows 1:59. What time will it show 71 minutes later? (a) 3:10 (b) 4:10 (c) 3:20 (d) 3:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 55 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 37 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 54 minutes? =
  30. 30.A clock shows 9:50. What time will it show 91 minutes later? (a) 11:11 (b) 12:21 (c) 11:31 (d) 11:21
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  32. 32.A clock shows 6:24. What time will it show 78 minutes later? (a) 7:42 (b) 7:52 (c) 8:42 (d) 7:32
  33. 33.A clock shows 1:13. What time will it show 88 minutes later? (a) 3:41 (b) 2:51 (c) 2:31 (d) 2:41
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 11 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
  38. 38.A clock shows 8:15. What time will it show 31 minutes later? (a) 8:56 (b) 9:46 (c) 8:36 (d) 8:46
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =

Answer key

  1. 33
  2. 146
  3. 56
  4. 6
  5. 3:21
  6. 198
  7. 6:36
  8. 4:24
  9. 5:23
  10. 18
  11. 108
  12. 119
  13. 65
  14. 179.5
  15. 36
  16. 87.5
  17. 2:53
  18. 3:43
  19. 174
  20. 3:17
  21. 3:10
  22. 179
  23. 66.5
  24. 45.5
  25. 126.5
  26. 110
  27. 330
  28. 18.5
  29. 324
  30. 11:21
  31. 175
  32. 7:42
  33. 2:41
  34. 73
  35. 66
  36. 14
  37. 117
  38. 8:46
  39. 13
  40. 63.5

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